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Popular >

integral of x^2+2^x

Solution

\int x^{2} + 2^{x} d x

Solution

\frac{x ^{3}}{3} + \frac{2 ^{x}}{ln ( 2 )} + C

Solution steps

\int x^{2} + 2^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{2} d x + \int 2^{x} d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 2^{x} d x = \frac{2 ^{x}}{ln ( 2 )}

= \frac{x ^{3}}{3} + \frac{2 ^{x}}{ln ( 2 )}

Add a constant to the solution

= \frac{x ^{3}}{3} + \frac{2 ^{x}}{ln ( 2 )} + C

Graph

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\int (x ln (14 x)) d x

limit as x approaches 2+of (3x^2)/(x-2)

x \to 2 + lim (\frac{3 x ^{2}}{x - 2})

Frequently Asked Questions (FAQ)

What is the integral of x^2+2^x ?
The integral of x^2+2^x is (x^3)/3+(2^x)/(ln(2))+C